{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture 2: Spiral classification\n",
    "\n",
    "Notebook adapted from [Deep Learning (with PyTorch)](https://github.com/Atcold/pytorch-Deep-Learning) by Alfredo Canziani. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cpu\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "print(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot functions\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython import display\n",
    "plt.rc('figure', figsize=(8, 8))\n",
    "\n",
    "def plot_data(X, y, d=0, auto=False, zoom=1):\n",
    "    X = X.cpu()\n",
    "    y = y.cpu()\n",
    "    plt.scatter(X.numpy()[:, 0], X.numpy()[:, 1], c=y)\n",
    "    plt.axis('square')\n",
    "    plt.axis(np.array((-1.1, 1.1, -1.1, 1.1)) * zoom)\n",
    "    if auto is True: plt.axis('equal')\n",
    "    plt.axis('off')\n",
    "    \n",
    "def plot_model(X, y, model):  \n",
    "    model.cpu()\n",
    "    \n",
    "    mesh = np.arange(-1.1, 1.1, 0.01)\n",
    "    xx, yy = np.meshgrid(mesh, mesh)\n",
    "    with torch.no_grad():\n",
    "        data = torch.from_numpy(np.vstack((xx.reshape(-1), yy.reshape(-1))).T).float()\n",
    "        Z = model(data).detach()\n",
    "    Z = np.argmax(Z, axis=1).reshape(xx.shape)\n",
    "    \n",
    "    plt.contourf(xx, yy, Z, alpha=0.3)\n",
    "    plot_data(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Setup\n",
    "seed = 12345\n",
    "torch.manual_seed(seed)\n",
    "\n",
    "N = 100  # num_samples_per_class\n",
    "D = 2    # dimensions\n",
    "C = 2    # num_classes\n",
    "H = 10  # num_hidden_units"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate spiral data\n",
    "X = torch.zeros(N * C, D).to(device)\n",
    "y = torch.zeros(N * C, dtype=torch.long).to(device)\n",
    "\n",
    "for c in range(C):\n",
    "    index = 0\n",
    "    t = torch.linspace(0, 1, N)\n",
    "    # When c = 0 and t = 0: start of linspace\n",
    "    # When c = 0 and t = 1: end of linpace\n",
    "    # This inner_var is for the formula inside sin() and cos() like sin(inner_var) and cos(inner_Var)\n",
    "    inner_var = torch.linspace(\n",
    "        # When t = 0\n",
    "        (2 * np.pi / C) * (c),\n",
    "        # When t = 1\n",
    "        (2 * np.pi / C) * (2 + c),\n",
    "        N\n",
    "    ) + torch.randn(N) * 0.2\n",
    "    \n",
    "    for ix in range(N * c, N * (c + 1)):\n",
    "        X[ix] = t[index] * torch.FloatTensor((\n",
    "            np.sin(inner_var[index]), np.cos(inner_var[index])\n",
    "        ))\n",
    "        y[ix] = c\n",
    "        index += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(torch.Size([200, 2]), torch.Size([200]))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape, y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# we use the torch.nn package to create our linear model\n",
    "# each Linear module has a weight and bias\n",
    "\n",
    "H = 100\n",
    "\n",
    "model = torch.nn.Sequential(\n",
    "    #torch.nn.Linear(D, C)\n",
    "    torch.nn.Linear(D, H),\n",
    "    torch.nn.Linear(H, C)\n",
    ")\n",
    "\n",
    "# Convert to CUDA\n",
    "model.to(device)  \n",
    "\n",
    "# torhc.nn package also has different loss functions.\n",
    "# we use cross entropy loss for our classification task\n",
    "criterion = torch.nn.CrossEntropyLoss()\n",
    "\n",
    "# we use the optim package to apply\n",
    "# stochastic gradient descent for our parameter updates\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=1e-3, weight_decay=1e-5) \n",
    "\n",
    "# Training\n",
    "for t in range(1000):\n",
    "    # Feed forward to get the logits\n",
    "    y_pred = model(X)\n",
    "    \n",
    "    # Compute the loss and accuracy\n",
    "    loss = criterion(y_pred, y)\n",
    "    score, predicted = torch.max(y_pred, 1)\n",
    "    acc = (y == predicted).sum().float() / len(y)\n",
    "    \n",
    "    if t % 25 == 0:\n",
    "        plt.clf()\n",
    "        plot_model(X, y, model)\n",
    "        model.to(device)\n",
    "        display.display(plt.gcf())\n",
    "        print(\"[EPOCH]: %i, [LOSS]: %.6f, [ACCURACY]: %.3f\" % (t, loss.item(), acc))\n",
    "        display.clear_output(wait=True)\n",
    "        \n",
    "    # zero the gradients before running\n",
    "    # the backward pass.\n",
    "    optimizer.zero_grad()\n",
    "    \n",
    "    # Backward pass to compute the gradient\n",
    "    # of loss w.r.t our learnable params. \n",
    "    loss.backward()\n",
    "    \n",
    "    # Update params\n",
    "    optimizer.step()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MLP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# nn package to create our linear model\n",
    "# each Linear module has a weight and bias\n",
    "\n",
    "H = 100\n",
    "\n",
    "model = torch.nn.Sequential(\n",
    "    torch.nn.Linear(D, H),\n",
    "    #torch.nn.Sigmoid(),\n",
    "    torch.nn.ReLU(),\n",
    "    torch.nn.Linear(H, C)\n",
    ")\n",
    "\n",
    "\n",
    "# model = torch.nn.Sequential(\n",
    "#     torch.nn.Linear(D, H),\n",
    "#     torch.nn.Sigmoid(),\n",
    "#     torch.nn.Linear(H, H),\n",
    "#     torch.nn.Sigmoid(),\n",
    "#     torch.nn.Linear(H, H),\n",
    "#     torch.nn.Sigmoid(),\n",
    "#     torch.nn.Linear(H, H),\n",
    "#     torch.nn.Sigmoid(),\n",
    "#     torch.nn.Linear(H, C)\n",
    "# )\n",
    "\n",
    "model.to(device)\n",
    "\n",
    "# nn package also has different loss functions.\n",
    "# we use cross entropy loss for our classification task\n",
    "criterion = torch.nn.CrossEntropyLoss()\n",
    "\n",
    "# we use the optim package to apply\n",
    "# ADAM for our parameter updates\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=1e-3, weight_decay=1e-5) \n",
    "\n",
    "# Training\n",
    "for t in range(2000):\n",
    "    # Feed forward to get the logits\n",
    "    y_pred = model(X)\n",
    "    \n",
    "    # Compute the loss and accuracy\n",
    "    loss = criterion(y_pred, y)\n",
    "    score, predicted = torch.max(y_pred, 1)\n",
    "    acc = (y == predicted).sum().float() / len(y)\n",
    "    \n",
    "    if t % 25 == 0:\n",
    "        plt.clf()\n",
    "        plot_model(X, y, model)\n",
    "        model.to(device)\n",
    "        display.display(plt.gcf())\n",
    "        print(\"[EPOCH]: %i, [LOSS]: %.6f, [ACCURACY]: %.3f\" % (t, loss.item(), acc))\n",
    "        display.clear_output(wait=True)\n",
    "    \n",
    "    # zero the gradients before running\n",
    "    # the backward pass.\n",
    "    optimizer.zero_grad()\n",
    "    \n",
    "    # Backward pass to compute the gradient\n",
    "    # of loss w.r.t our learnable params. \n",
    "    loss.backward()\n",
    "    \n",
    "    # Update params\n",
    "    optimizer.step()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:torch-cpu]",
   "language": "python",
   "name": "conda-env-torch-cpu-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
